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Finding the Fourth Proportional to 5,929.68, 8,189.44 and 3,948.62

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Solution

The fourth proportional to 5,929.68, 8,189.44 and 3,948.62 is: 5,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.68 : 8,189.44 = 3,948.62 : x
  2. Step 2: Convert to fraction form
    5,929.68/8,189.44 = 3,948.62/x
  3. Step 3: Cross multiply
    5,929.68x = 8,189.44 × 3,948.62
  4. Step 4: Simplify right side
    5,929.68x = 32,336,986.57
  5. Step 5: Solve for x
    x = 32,336,986.57/5,929.68
  6. Step 6: Final answer
    x = 5,453.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.